Answered: In a group of n women and n men, how…

In a group of n women and n men, how many people must be selected at random from the total 2n population to guarantee that a woman and man couple is selected?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: In the 31st SEA Games volleyball match, how many ways can a coach choose 6 starters from a…

A: From given information, n is 15 and r is 6.

Q: urn contains m number of red balls and n number of white balls. Two balls are selected without…

A: Given: n(red) = m n(white) = n Total number of balls = m+n P(first ball is red) = P(2 red) + P(1st…

Q: A student is to select three courses for next semester. If this student decides to…

A: Given that 7 economic courses, 9 mathematics courses, and 4 computer courses, We have to select 3…

Q: Suppose a box contains 7 red balls & three blue balls. If 5 balls are selected at random without…

A: Hypergeometric distribution is given by

Q: In order to conduct an experiment, 5 subjects are randomly selected from a group of 43 subjects. How…

A: GivenNo.of subjects(n) =43No.of subjectes to be selected(r)=5

Q: Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to…

Q: In a lottery game, a player will pick at random a number from the set {1, 2, 3, 4, 5, 6, 7, 8, 9,…

A: It is given that the set is 1,2,3,4,5,6,7,8,9,10 Therefore the probability of picking prime is 410…

Q: When testing for a current in a cable with 12 color coded wires, the author used a meter to test 4…

Q: A carton of 16 hair dryers contains three which have minor blemishes, with the others in perfect…

Q: An electronics store has received a shipment of 30 table radios that have connections for an iPod or…

A: No. of table radios(N)=30No. of radios are selected(n)=8No. of radios have two slots(M)=12

Q: from a coin box containing 4 dimes and 2 nickles,3 coins are selected at random replacement after…

A: A box contain 4 dimes and 2 nickels, we need to select 3 coins at random with replacement.…

Q: car park attendant loses the name tags for a set of seven car keys, so hands out the keys randomly…

A: We first count the number of ways to return the keys so that no one receives their own key. There…

Q: In a box, there are 5 large yellow marbles, 3 small yellow marbles, and 24 white marbles. How many…

A: Introduction - Probability = Favorable outcomes total number of outcomes

Q: A basketball team has 12 players on it. In how many different ways could a 5-player starting lineup…

Q: same

Q: Suppose that there are 43 candidates, 32 men and 11 women, who apply for the Graduate Hiring Program…

A: There are 32 men and 11 women. 8 candidates needed to be selected. X : Number of women selected. So,…

Q: A restaurant offers a dessert menu with 8 different options. If a customer chooses 3 desserts at…

A: To calculate the number of different combinations of desserts when a customer chooses 3 desserts at…

Q: An jar contains 4 orange, 6 green, and 3 purple necklace charms. In how many ways can 3 necklace…

A: It is given that the A jar contains 4 orange, 6 green, and 3 purple necklace charms. So that the…

Q: green A store sells rubber balls in 4 different colors: red, yellow, blue, and If the store has a…

Q: A bag holds a total of 70 balls, including 8 red, 22 white, and 8 blue balls. Two balls are pulled…

Q: an environmental company is studying water samples from 80 lakes for pollution. five of the lakes…

A: Given, an environmental company is studying water samples from 80 lakes for pollution five of the…

Q: Decide whether the exercise involves permutations or combinations, and then solve the problem.…

A: Given, a bag containing 13 marbles Marbles are drawn from the bag without replacement. So,

Q: anufacturing error,ten cans of regular soda were accidentally filled with diet soda and placed into…

A: Here it is given that - Due to a manufacturing error, 10 cans of regular soda were accidentally…

Q: An urn contains 12 numbered balls, of which 6 are black, and 6 are white. A sample of 6 balls is…

A: Number of ways of selecting a sample of 6 balls from 12 balls is given by: 126 = 12!6! x (12-6)!…

Q: In a lottery game, a player picks 8 numbers from 1 to 49. If 6 of those 8 numbers match those drawn,…

A: 1) number of ways to choose 4 winning numbers from possible 6 numbers =(8C6)=28 2) number to choose…

Q: A bag of contains 72 pieces of candy of 5 different types. How many pieces must be randomly selected…

A: given data 72 pieces of candy of 5 different type how many people must be selecte to guarantee the…

Q: The top 40 qualified applicants for a scholarship are identified and 4 are selected at random to…

Q: In a class, there are twelve freshmen boys, sixteen freshmen girls, and nine sophomore boys. How…

A: We have given information, In a class, there are twelve freshmen boys, sixteen freshmen girls, and…

Q: Suppose that jurors are selected randomlyfrom an adult population. What is the proability that all…

A: Given data, n=12 p=80%=0.80 P(X=12)=?

Q: The pool of students in a calculus class consist of 22 sophomore and 8 freshmen. If seven students…

A: (a) Determine the number of different groups of seven students can be selected. The number of…

Q: A husband and wife, Stan and Lucretia, share a digital music player that has a feature that randomly…

A: From the provided information, 27 of the first 40 songs selected were songs loaded by Lucretia.…

Q: An environmental education club has 318 members. Select all methods that would select a sample of 20…

A: the process of taking out some part of the population is called sampling. there are some techniques…

Q: A restaurant has a "low sodium" menu and a "low calorie" menu. On the "low sodium" menu there are 5…

A: Solution: We can write the given information in a tabular form as follows: Low Sodium Low…

Q: Tennis balls are randomly toss into one of five trays. Determine the number of balls needed to…

Q: marching band consists of 11 pipers and 12 drummers. Three of them are selected to march in order…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: A box contains 14 red lamps, 26 Blue lamps, all the lamps being of the same shape and size. Two…

A: It is given that the box contains 14 red lamps, 26 blue lamps.

Q: A man just bought 6 suits, 11 shirts, and 15 ties. All of these suits, shirts, and ties coordinate…

A: Theory of Combination:

Q: How many 6-member committees with at least 4 men, can be selected at random from a group of 6 men…

Q: A computer system uses passwords that have six characters, and each character is one of the 26…

A: Given, A computer system uses passwords that are six characters and each character is one of the 26…

Q: In order to conduct an experiment, 5 subjects are randomly selected from a group of 43 subjects.…

A: It is given that there are 5 subjects (s), and all the subjects are randomly selected from a group…

Q: Each of 400 people who purchased a Honda Civic was classified according to gender and whether the…

Q: 2. Show that the combination of choosing r items from a set of n items has the same possible…

A: Combination can be defined as the number of ways of merging things disregarding of their orders. It…

Q: large pile of coins consists of pennies, nickels, dimes, and quarters (at least 16 of each). How…

Q: wo jurors are selected from 4 alternates to serve at a murder trial. Using the notation A1,A3, for…

A: Sample space is the set of all outcomes of a random experiment.

Question

In a group of n women and n men, how many people must be selected at random from the total 2n population to guarantee that a woman and man couple is selected?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A sample of 3 balls is to be selected at random from an urn containing 20 balls numbered 1 to 20. Six balls are green, 4 balls are white, and 10 balls are black. How many different samples can be selected?
An urn contains 12 numbered balls, of which 6 are black, and 6 are white. A sample of 4 balls is selected. How many different samples contain at least 1 black ball? Give a numerical answer.
A computer program generates random numbers. The numbers have 3 digits which cannot be repeated, and they must be divisible by 5. How many unique numbers can the program generate?
A product shipment contains 6 computer chips, of which two (2) are defective. If an inspector selects 4 chips at random for an order, without replacement, how many ways are there of picking both defective chips in this order (of 4 chips)? Order does not matter.
Consider a deck of 52 cards with 4 suits and 13 cards (2-10,J,K,Q,A) in each suit. Jack takes one such deck and arranges them in a line in a completely random order. Now he wants to find the number of "Power Trios" in this line of cards. A "Power Trio" is a set of 3 consecutive cards where all cards are either a Jack, Queen or King (J,Q or K). A "Perfect Power Trio" is a set of 3 consecutive cards with exactly 1 Jack, 1 Queen and 1 King (in any order). Find the expected number of Power Trios that Jack will find. Find the expected number of Perfect Power Trios that Jack will find.
A standard deck of cards consists of 52 cards n each of the 4 suits: Spades, Diamonds, Hearts and Clubs. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King. A “hand" is a selection of 5 cards from the deck. Thus there are (5²) possible hands. Suppose three players are each dealt a hand of 5 cards each from a shuffled deck. What is the chance that the first player gets a royal flush (i.e 10-J-Q-K-A of the same suit)? What is the chance that at least one player obtains a royal flush?
A group of fifteen tourists is stranded in a city with four hotels of the same class. Each of the hotels has enough room available to accommodate the fifteen tourists. The group's guide, who has a good working relationship with each of the four hotels, assigns the tourists to the hotels as follows. First, he randomly determines how many are to go to hotel A, then how many of the remaining tourists are to go to hotel B, and then how many are to go to hotel C. All remaining tourists are sent to hotel D. Note that each stage of the assignment the guide draws at random a number between zero and the number of tourists left. What is the probability that all four hotels receive guests from the group?
A bag contains pieces of 6 different types of candy. If the bag has 85 pieces in total, how many pieces must be randomly selected to guarantee the selection contains at least 3 pieces of one of the 6 types?
In a fuel economy study, each of 3 race cars is tested using 5 different brands of gasoline at 7 test sites located in different regions of the country. If 2 drivers are used in the study, and test runs are made once under each distinct set of conditions, how many test runs are needed?
If two states are selected at random from a group of 10 states, determine the number of possible outcomes if the group of states are selected with replacement or without replacement. If the states are selected with replacement, there are possible outcomes.
1. Assume that a class of 16 students is supposed to write an essay. If 3 essays are randomly selected to appear on the class bulletin board, how many different groups of 3are possible? (calculate number of combinations of 3 items from 16 available items).Show the result of calculations.
A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?